Chapter 5.2, Problem 17SSC

Interpretation Introduction

Interpretation:

The first four energy levels of hydrogen needs to be explained.

Concept introduction:

The number of orbitals in any orbit = $n^{th}$ orbit the electrons are added such that lowest energy orbital is filled first followed. The increasing order of energy of various orbitals is

$1s<2s<2p<3s<3p<4s<3d<4p<5s<4d<5p<6s<4f$

$<5d<6p<7s<5f<6d<7p\mathrm{.........}$

Answer to Problem 17SSC

Number of orbitals related to each s- sublevel $=4\left(1s,2s,3s,4s\right)$

Number of orbitals related to each p- sublevel $=9\left(2p,3p,4p\right)$

Explanation of Solution

First four energy level of hydrogen atom-

s-sublevel contain only $1$ orbitals while p-sublevel consist of $3$ orbitals

Number of orbitals related to each s - sublevel $=4\left(1s,2s,3s,4s\right)$.

Number of orbitals related to each p - sublevel $=9\left(2p,3p,4p\right)$

Conclusion

Thus, number of orbitals related to each s - sublevel $=4\left(1s,2s,3s,4s\right)$.

Number of orbitals related to each p - sublevel $=9\left(2p,3p,4p\right)$